. Gold has a density of 19.32 g/cm3. If a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is the pyramid in fact solid gold? If it is not, what reasons could explain why it is not? Recall that density can be calculated with the formula density=mass /volume
2 answers:
Answer:
See below in bold.
Step-by-step explanation:
The volume of the pyramid = 1/3 * area of base * height = 1/3 * 6 * 5^2
= 50 cm^3.
Now we work out the density assuming it is solid gold
Density = mass / volume = 942 / 50 = 18.84, but the density of gold is 19.32 g/cm^3 so the pyramid cannot be solid gold.
Answer:
The answer to your question is: It is not made of gold.
Step-by-step explanation:
Data
density = 19.32 g/cm³
side = 5 cm
height = 6 cm
mass = 942 g
Formula
V =
L² = 5 x 5 = 25 cm²
V =
V = 50 cm³
density = 942 g / 50 cm³
= 18.84 g/cm³
It is not made of gold because the density calculated is lower than the density reported in books.
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That would be 5/913. As a percent, that would be 0.5%. I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)